Christen, Patrik

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Christen
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Patrik
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Patrik Christen

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2019 - 201912020 - 20222
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Autor:in: Del Fabbro, Olivier × Typ: 04B - Beitrag Konferenzschrift ×

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  • Vorschaubild nicht verfügbar
    Publikation
    Philosophy-guided mathematical formalism for complex systems modelling
    (IEEE, 2022) Christen, Patrik; Del Fabbro, Olivier [in: 2022 IEEE International Conference on Systems, Man, and Cybernetics (SMC). Proceedings]
    We recently presented the so-called allagmatic method, which includes a system metamodel providing a framework for describing, modelling, simulating, and interpreting complex systems. Its development and programming was guided by philosophy, especially by Gilbert Simondon’s philosophy of individuation, Alfred North Whitehead’s philosophy of organism, and concepts from cybernetics. Here, a mathematical formalism is presented to better describe and define the system metamodel of the allagmatic method, thereby further generalising it and extending its reach to a more formal treatment and allowing more theoretical studies. By using the formalism, an example for such a further study is provided with mathematical definitions and proofs for model creation and equivalence of cellular automata and artificial neural networks.
    04B - Beitrag Konferenzschrift
  • Vorschaubild nicht verfügbar
    Publikation
    Philosophy-guided modelling and implementation of adaptation and control in complex systems
    (IEEE, 2022) Del Fabbro, Olivier; Christen, Patrik [in: 2022 International Joint Conference on Neural Networks (IJCNN). Conference proceedings]
    04B - Beitrag Konferenzschrift
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    Publikation
    Cybernetical concepts for cellular automaton and artificial neural network modelling and implementation
    (IEEE, 2019) Christen, Patrik; Del Fabbro, Olivier [in: 2019 IEEE International Conference on Systems, Man and Cybernetics (SMC)]
    As a discipline cybernetics has a long and rich history. In its first generation it not only had a worldwide span, in the area of computer modelling, for example, its proponents such as John von Neumann, Stanislaw Ulam, Warren McCulloch and Walter Pitts, also came up with models and methods such as cellular automata and artificial neural networks, which are still the foundation of most modern modelling approaches. At the same time, cybernetics also got the attention of philosophers, such as the Frenchman Gilbert Simondon, who made use of cybernetical concepts in order to establish a metaphysics and a natural philosophy of individuation, giving cybernetics thereby a philosophical interpretation, which he baptised allagmatic. In this paper, we emphasise this allagmatic theory by showing how Simondon’s philosophical concepts can be used to formulate a generic computer model or metamodel for complex systems modelling and its implementation in program code, according to generic programming. We also present how the developed allagmatic metamodel is capable of building simple cellular automata and artificial neural networks.
    04B - Beitrag Konferenzschrift